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A shopkeeper bought an item for ₹400. He sold it at a profit of 25%. Then, the buyer sold it to another person at a loss of 10%. What is the final sel
Question

A shopkeeper bought an item for ₹400. He sold it at a profit of 25%. Then, the buyer sold it to another person at a loss of 10%. What is the final selling price?

A.

₹500

B.

₹405

C.

₹450

D.

₹360

Correct option is C

 Given:

Cost Price = ₹400

Profit by shopkeeper = 25%

Loss by buyer = 10%

Formula Used:

Selling Price with Profit = CP × (1+Profit%100)\left(1 + \frac{Profit\%}{100}\right)​​

Selling Price with Loss = CP × (1Loss%100)\left(1 - \frac{Loss\%}{100}\right)​​

Solution:

First selling price (from shopkeeper to buyer):

SP1=400×(1+25100) =400×1.25=500SP_1 = 400 \times \left(1 + \frac{25}{100}\right)\\ \ \\ = 400 \times 1.25 = ₹500​​

Second selling price (buyer to another at 10% loss):

SP2=500×(110100) =500×0.90=450SP_2 = 500 \times \left(1 - \frac{10}{100}\right)\\ \ \\ = 500 \times 0.90 = ₹450 ​

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